Finite Group Databasebeta

← Group #178488

Character table — Group #178488

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56
size111111112222444444448888888888888816161616161616161616161616161616161616161616
order12222222444444444444444444888888882444444444444488888888
χ111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11-1-1-1111-111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-1-1-1-1-11111111-1-11-1-111-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-11-1-1-1-1-1-1-111111111
χ5111111111111111111111-1-11-1-1111111111-1-111-1-1-1-1-1-1-11-1-1-1-1-11111
χ6111111111111111111111-1-11-1-111111111-11-1-1-11-1-1-11-1-1-111111-1-1-1-1
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1111-11111-1-1-1-1
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11-1-1-11-111111-11-1-1-1-11111
χ911111111-1-1-1-111-1-11111-111-1-1-11111-1-1-1-111-1-1-11111-1-1-11-111-1-111-1-1
χ1011111111-1-1-1-111-1-11111-111-1-1-11111-1-1-1-1-1-1-111-11111-1-1-11-1-111-1-111
χ1111111111-1-1-1-111-1-11111-111-1-1-1-1-1-1-1111111-1-1-111-1-1-1111-1-1-111-1-111
χ1211111111-1-1-1-111-1-11111-111-1-1-1-1-1-1-11111-1-1-111-11-1-1111-1111-1-111-1-1
χ1311111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-11-11-1-1-1-1-1-111111-1-11111-1-1
χ1411111111-1-1-1-111-1-11111-1-1-1-1111111-1-1-1-1-111111-1-1-1-111-1-111-1-1-1-111
χ1511111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-111111-11-1-1-1-1111-1-11111-1-1-1-111
χ1611111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-111111-111-1-1-1-1-1-1-11111-1-1
χ172222222222222-2-2-2-2-22-2200-2000000000002000-20002000-200000000
χ182222222222222-2-2-2-2-22-2200-200000000000-20002000-2000200000000
χ19222222222222-2222-2-2-22-222-2-2-200000000002000-2000000000000000
χ20222222222222-2222-2-2-22-2-2-2-2220000000000-20002000000000000000
χ21222222222222-2-2-2-222-2-2-200200000000002002-20000000-2000000000
χ22222222222222-2-2-2-222-2-2-20020000000000-200-2200000002000000000
χ2322222222-2-2-2-22-222-2-22-2-2002000000000002000-2000-2000200000000
χ2422222222-2-2-2-22-222-2-22-2-200200000000000-200020002000-200000000
χ2522222222-2-2-2-2-22-2-2-2-2-222222220000000000-2000-2000000000000000
χ2622222222-2-2-2-2-22-2-2-2-2-222-2-22-2-2000000000020002000000000000000
χ2722222222-2-2-2-2-2-22222-2-2200-20000000000200-220000000-2000000000
χ2822222222-2-2-2-2-2-22222-2-2200-20000000000-2002-200000002000000000
χ29444-44-4-4-4000000004-40000000000002222−22−220000000000000000000000
χ30444-44-4-4-4000000004-4000000000000−22−2222220000000000000000000000
χ31444-44-4-4-400000000-44000000002222−22−2200000000000000000000000000
χ32444-44-4-4-400000000-4400000000−22−22222200000000000000000000000000
χ3344-44-44-4-444-4-400000000000000000000000000000000000000002-22-2
χ3444-44-44-4-444-4-40000000000000000000000000000000000000000-22-22
χ3544-44-44-4-4-4-44400000000000000000000000000000000000000002-2-22
χ3644-44-44-4-4-4-4440000000000000000000000000000000000000000-222-2
χ3744-4-4-4-44400000400000-404i−4i000000000000000000000000000000000
χ3844-4-4-4-44400000400000-40−4i4i000000000000000000000000000000000
χ3944-4-4-4-44400000-400000400004-4000000000000000000000000000000
χ4044-4-4-4-44400000-40000040000-44000000000000000000000000000000
χ414-444-4-4-444i−4i4i−4i0000000000000000000000000000000000002i−2i2-20000
χ424-444-4-4-444i−4i4i−4i000000000000000000000000000000000000−2i2i-220000
χ434-444-4-4-44−4i4i−4i4i0000000000000000000000000000000000002i−2i-220000
χ444-444-4-4-44−4i4i−4i4i000000000000000000000000000000000000−2i2i2-20000
χ454-44-4-444-40000004i−4i00000000000000000000000002-202i−2i0000000000
χ464-44-4-444-40000004i−4i0000000000000000000000000-220−2i2i0000000000
χ474-44-4-444-4000000−4i4i00000000000000000000000002-20−2i2i0000000000
χ484-44-4-444-4000000−4i4i0000000000000000000000000-2202i−2i0000000000
χ494-4-444-44-44i−4i−4i4i000000000000002-22-22i−2i2i−2i0000000000000000000000
χ504-4-444-44-44i−4i−4i4i00000000000000-22-22−2i2i−2i2i0000000000000000000000
χ514-4-444-44-4−4i4i4i−4i000000000000002-22-2−2i2i−2i2i0000000000000000000000
χ524-4-444-44-4−4i4i4i−4i00000000000000-22-222i−2i2i−2i0000000000000000000000
χ534-4-4-444-440000400000-4000000000002i2−2i2−2i22i20000000000000000000000
χ544-4-4-444-440000400000-400000000000−2i22i22i2−2i20000000000000000000000
χ554-4-4-444-440000-4000004000000022−22−222200000000000000000000000000
χ564-4-4-444-440000-40000040000000−222222−2200000000000000000000000000

Here i is the imaginary unit (i² = −1).